Geodesic
On the closeness of the incompatibility criteria for the original and perturbed systems of equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 326-331

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The article considers the question of the influence of perturbations introduced into the matrix and the right side of a system of linear algebraic equations of a general form on the value of its inconsistency criterion. In this paper, due to the use of a pseudoinverse matrix, a new, more accurate estimate of the proximity of the incompatibility criteria for the original and perturbed systems is established.
Keywords: rank, condition number of a matrix.
Mots-clés : kernel and image of a matrix, pseudoinverse matrix, singular value decomposition of a matrix 
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     title = {On the closeness of the incompatibility criteria for the original and perturbed systems of equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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V. N. Babenko. On the closeness of the incompatibility criteria for the original and perturbed systems of equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 326-331. http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a25/